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Finding the Fourth Proportional to 498.91, 688.65 and 312.29

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Solution

The fourth proportional to 498.91, 688.65 and 312.29 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.91 : 688.65 = 312.29 : x
  2. Step 2: Convert to fraction form
    498.91/688.65 = 312.29/x
  3. Step 3: Cross multiply
    498.91x = 688.65 × 312.29
  4. Step 4: Simplify right side
    498.91x = 215,058.51
  5. Step 5: Solve for x
    x = 215,058.51/498.91
  6. Step 6: Final answer
    x = 431.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.